Search a number
-
+
23632705806373 is a prime number
BaseRepresentation
bin1010101111110011010110…
…00010001110000000100101
310002200021010220022221112001
411113321223002032000211
511044144240141300443
6122132414250525301
74656256323631126
oct527715302160045
9102607126287461
1023632705806373
117591635362754
122798215436831
1310257295a3791
145b9b86d4804d
152aeb1a8a1d4d
hex157e6b08e025

23632705806373 has 2 divisors, whose sum is σ = 23632705806374. Its totient is φ = 23632705806372.

The previous prime is 23632705806257. The next prime is 23632705806389. The reversal of 23632705806373 is 37360850723632.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13615974540289 + 10016731266084 = 3689983^2 + 3164922^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23632705806373 is a prime.

It is a super-3 number, since 3×236327058063733 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23632705506373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11816352903186 + 11816352903187.

It is an arithmetic number, because the mean of its divisors is an integer number (11816352903187).

Almost surely, 223632705806373 is an apocalyptic number.

It is an amenable number.

23632705806373 is a deficient number, since it is larger than the sum of its proper divisors (1).

23632705806373 is an equidigital number, since it uses as much as digits as its factorization.

23632705806373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22861440, while the sum is 55.

The spelling of 23632705806373 in words is "twenty-three trillion, six hundred thirty-two billion, seven hundred five million, eight hundred six thousand, three hundred seventy-three".